Since v is a vector of magnitude 4 and makes angle 30° with the positive x axis, vector v in component form is v = 2√3i + 2j
To find vector v in component form, we need to know what a vector is
What is a vector?A vector is a physical quantity that has both magnitude and direction.
Component of a vectorA vector can be resolved into perpendicular components along the x, y and z axis.
Components of vector vSince vector v has a magnitude of 4 making an angle of 30 with the positive x - axis, its x-component is V = (vcos30°)i
= (4cos30°)i
= (4 × √3/2)i
= 2√3i.
The y-component of v is V' = (vsin30°)j
= (4 × sin30°)j
= (4 × 1/2)j
= 2j
Vector v in component form
So, vector v in component form is v = V + V'
= 2√3i + 2j
So, since v is a vector of magnitude 4 and makes angle 30° with the positive x axis, vector v in component form is v = 2√3i + 2j
Learn more about vectors here:
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What will be the sales price of the car if it has a regular price of $16 000 and is on sale for 20% off? Determine the cost of the car including 13% tax.
Answer:
14,464
Step-by-step explanation:
16,000 - 20% = 12,800
12,800 + 13% = 14,464
I hoope this is correct. Have a wonderful day and dream a good dream of good people. :)
Mika’s gym allows her to bring 3 guests for free. After the first three, she must pay $7 per guest. How many guests, g, can she bring to the gym if she pays $42?
Answer:
9 guests
Step-by-step explanation:
the first 3 guests are free and anyone after is 7 per guest
well if we divide 42/7 we get 6
and we add the 3 we get 9 guests.
This makes sense due to the fact that the first 3 guests are free and we are paying for everyone else after them. So it's 7 dollars a student therefore, 9 guests.
What is 3x + 2y = 12 (show your work)
Answer:
y = (-3/2)x + 6
Step-by-step explanation:
3x + 2y = 12
2y = -3x + 12
÷2 ÷2 ÷2
y = (-3/2)x + 6
Slope: (-3/2)
Y-intercept: (0,6)
I hope this helps!
Rewrite 4 as a fraction.
4/4
4/1
1/4
Answer:
4/1
Step-by-step explanation:
when you divide 4 by 1 you will get 4 which is your original answer.
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?
x > 38
x < 39
x < 77
x > 103
Answer: x>38
Step-by-step explanation:
By the exterior angle theorem, x=39+38=77.
23
Hot dogs are sold in packages of 12. Buns are sold in packages of 8. What is
the least number of packages of buns you would have to buy if you want to
purchase an equal number of hot dogs and buns?
А 3
B 4
C5
D 6
Answer:
A) 3
Step-by-step explanation:
12 * 2 = 24
8 * 3 = 24
24 = 24
Identify the value of y.
7(5-5y) = 9y-4-357
Hey there!
Let's solve this equation!
The first step is to use the Distributive Property.
7(5-5y)=9y-4-357
35-35y=9y-361
Combine Like Terms:
-35y-9y=-361-35
-44y=-396
Divide both sides by -44:
y=9
Hence, the answer is:
[tex]\boxed{\boxed{\bold{y=9}}}[/tex]
Hope everything is clear.
Let me know if you have any other questions; if so, please comment.
#LearningDoesn'tEnd
#LearningIsFun
[tex]\rule{200}{2}[/tex]
Question 9 of 14 V
Question 9
Levi was designing a kite. He needs to determine the measure of A before cutting the fabric.
(1100
(6x + 4)º
A А
(4x + 26)
What is the measure of angle A?
The measure of angle A in the kite before cutting the fabric is 42 degrees.
What is a kite?A kite is a quadrilateral with four sides and four angles. Adjacent sides are equal, and the diagonals bisect each other at 90 degrees.
Also, there is a pair of equal opposite angles.
From the diagram:
110 + (6x + 4) + (4x + 26) = 180 (sum of angles in a straight line)
10x + 30 = 70
x = 4
∠A = 4(4) + 26 = 42°
The measure of angle A in the kite before cutting the fabric is 42 degrees.
Find out more on kite at: https://brainly.com/question/386327
help again thank you .
Answer:
Left 2, up 1
Step-by-step explanation:
If you use slope, remember rise/run. You go up then left.
Answer: left 2 up 1
Step-by-step explanation: I did it by using the rule rise over run so it goes up then left . Hope it helps
Click all the questions that are considered statistical questions. No links please.
Answer:
The first three are not statistical, the last three are.
seven less than the product of a number n and 1/3 is no more than 95
A zoo measured the height, in feet, of 9 giraffes.
18, 16, 22, 14, 17, 19, 15, 19, 22
What is the median height of the giraffes?
16 ft
17 ft
18 ft
19 ft
Answer:
19 ft because the median is 4.5th item so,the commutative frequency just greater than 4.5 is 6.
so,median=9ft
Use substitution to find the value of y. x =3 x+y=7 step 1 : rewrite the equation step 2 :add or subtract to solve for y
Answer:
[tex]\huge\boxed{\sf y = 4 }[/tex]
Step-by-step explanation:
Given Equations:
x = 3 --------------------(1)
x + y = 7 ---------------(2)
Step 1: Substitute Eq. (1) in (2)
3 + y = 7
Step 2: Subtract 3 to both sides
y = 7 - 3
y = 4
[tex]\rule[225]{225}{2}[/tex]
Plese help me.....
GOD WILL BLESS YOU
4 11
8 22
16 n
8 x n = 22 x 16
n = 44
What is the
Height?
Please, asap. If two people answer, I will give one of you a brainlest and ask I will ask another question afterward.
Answer:
the answer is the number 23
A polynomial p(x) has 3, 2-i, and √3 as its roots and goes through (0,-90), find p(x)
Answer:
p(x) = -2x⁵ +14x⁴ -28x³ -12x² +102x -90
Step-by-step explanation:
Assuming the desired polynomial has real and rational coefficients, each of the complex and irrational roots has a corresponding conjugate. That is, the roots of p(x) must include ...
{3, 2 -i, 2 +i, √3, -√3}
Each of these roots corresponds to a linear factor. Root p corresponds to factor (x -p), for example.
__
Factored formThen the factored p(x) will be ...
p(x) = k(x -3)(x -(2 -i))(x -(2 +i))(x -√3)(x +√3) . . . . for some scale factor k
Simplifying a bit, we have ...
p(x) = k(x -3)((x -2)² +1)(x² -3) = k(x -3)(x² -4x +5)(x² -3)
__
Scale factorAt x=0, this evaluates to ...
p(0) = k(0 -3)(0² -4·0 +5)(0² -3) = 45k
We want p(0) = -90, so we require ...
45k = -90
k = -2
__
Then the function p(x) factored to integers is ...
p(x) = -2(x -3)(x² -4x +5)(x² -3)
When we multiply this out, we find the standard form equation is ...
p(x) = -2x⁵ +14x⁴ -28x³ -12x² +102x -90
help me pls pls bro pls
Which function has a constant additive rate of change of –1/4?.
Find the area of each triangle b= 12.4cm. h= 18 cm
[tex] \frac{1}{2} \times b \times h \\ \frac{1}{2} \times 12.4 \times 18 \\ 6.2 \times 18 \\ 111.6 {cm}^{2} [/tex]
Please help!! 155 questions 2 hours in I need help!
Answer:
the first one And the first one only
Step-by-step explanation:
supplementary angles are angles that add up to 180.
Hope this helps! :)
A box of 15 cookies costs $9dollar sign, 9. What is the cost for 1 cookie?
Find the area of the triangle b= 12.4 cm and h= 18 cm
Answer:
111.6 cm
Step-by-step explanation:
The area of a triangle can be calculated using the following formula:
Area = (base x height) / 2
Using this formula we can solve this problem in the following way:
We know base = 12.4, and height = 18(12.4 x 18) / 2 = 111.6Hope this helps!!
Answer:
answer 111.6 cm^2.......
The vertices of a quadrilateral drawn in a coordinate plane are (-6,6), (4,6), (2,-5), and (-6,-9). what is the length of the side joining the vertex in quadrant i to the vertex in quadrant 11? a) 2 b) 8 c) 10 d) 12
Using the formula for the distance between two points, it is found that the length of the side joining the vertex in quadrant i to the vertex in quadrant ii is given by:
c) 10
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In quadrant I, both coordinates are positive, hence the vertex is (4,6). In quadrant II, x is negative while y is positive, hence the vertex is (-6,6). Thus, the distance is given by:
[tex]D = \sqrt{(-6 - 4)^2+(6 - 6)^2} = 10[/tex]
Which means that option C is correct.
More can be learned about the distance between two points at https://brainly.com/question/18345417
six times three added to seven
pa answerr-,-
Answer:
25 :) hope this helps you
:v
What is the probability of both coins landing on heads?
Write your answer as a fraction or a whole number. With fractions, use a slash ( / ) to separate the numerator and denominator.
Answer:
and with the fractions and then divide the answer by 2.1
Step-by-step explanation:
What is the length of side a? Round to the nearest tenth
Answer:
○ [tex]\displaystyle 12,9[/tex]
Step-by-step explanation:
Use the Law of Sines to find the length of the second edge:
Solving for Angles
[tex]\displaystyle \frac{sin\angle{C}}{c} = \frac{sin\angle{B}}{b} = \frac{sin\angle{A}}{a}[/tex]
Use [tex]\displaystyle sin^{-1}[/tex]towards the end or you will throw your result off!
Solving for Edges
[tex]\displaystyle \frac{c}{sin\angle{C}} = \frac{b}{sin\angle{B}} = \frac{a}{sin\angle{A}}[/tex]
Let us get to wourk:
[tex]\displaystyle \frac{a}{sin\:40} = \frac{10}{sin\:30} \hookrightarrow \frac{10sin\:40}{sin\:30} = x; 12,855752194... \\ \\ \boxed{12,9 \approx x}[/tex]
I am joyous to assist you at any time.
23.-28. In a manner similar to Example 1, (a) identify input and
output consistent with the general proportional model; (b) write
an equation for the model; (c) determine a numerical value for the
constant k; and (d) solve the problem.
24. The speed of a skidding car is directly proportional to the
square root of the length of the skid. On a snowy road, a car
with good brakes traveling at 40 mph would skid approxi-
mately 178 ft. If the skid marks of a similar car on a similar
road were 400 ft, how fast would this car be traveling?
24. If the skid marks of a similar car on a similar road were 400 ft, how fast would this car be
traveling?
The direct variation that of the speed to the skid length implies that the speed increases as the length increases
The car would be traveling at 59.96 mph
How to determine the speed of the skidding car?A direct variation that illustrates the speed of the skidding car is:
s = k√l
Where:
s represents the speed of the carl represents the length of the skidk represents the proportionality constantMake k the subject in s = k√l
k = s /√l
Rewrite as:
s₁ /√l₁ = s₂ /√l₂
Substitute known values
40 /√178 = s₂ /√400
Evaluate the square root of 40
40 /√178 = s₂ /20
Multiply both sides by 20
800 /√178 = s₂
Evaluate the quotient
s₂ = 59.96
Hence, the car would be traveling at 59.96 mph
Read more about direct variation at:
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Why is math super hard??
Helppppp!!!!!!!!!
I need this before midnight
Answer:
a) 9am
b) 10am
c) 50 miles
d) 30 minutes
e) 11:30
f) 90 miles
Which value for x makes this inequality true?
−5>x
This inequality says the following:-
-5>x
negative 5 is greater than x, which means x is less than -5:
x<-5
Now, Which values make this inequality true?
Since x is less than -5, then numbers less than -5 will make this inequality true.
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)